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This paper deals with a problem from discrete-time robust control which requires the solution of constraints over the reals that contain both universal and existential quantifiers. For solving this problem we formulate it as a program in a…

Logic in Computer Science · Computer Science 2007-05-23 Stefan Ratschan , Luc Jaulin

The spreadsheet application is among the most widely used computing tools in modern society. It provides excellent usability and usefulness, and it easily enables a non-programmer to perform programming-like tasks in a visual tabular "pen…

Programming Languages · Computer Science 2022-03-31 Ezana N. Beyenne , Hai-Feng Guo

This paper proposes a new algorithm for solving MAX2SAT problems based on combining search methods with semidefinite programming approaches. Semidefinite programming techniques are well-known as a theoretical tool for approximating maximum…

Optimization and Control · Mathematics 2018-12-18 Po-Wei Wang , J. Zico Kolter

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

Approximate model counting for bit-vector SMT formulas (generalizing \#SAT) has many applications such as probabilistic inference and quantitative information-flow security, but it is computationally difficult. Adding random parity…

Cryptography and Security · Computer Science 2017-12-22 Seonmo Kim , Stephen McCamant

Submodular function minimization (SFM) is a fundamental and efficiently solvable problem class in combinatorial optimization with a multitude of applications in various fields. Surprisingly, there is only very little known about constraint…

Data Structures and Algorithms · Computer Science 2018-11-27 Martin Nägele , Benny Sudakov , Rico Zenklusen

We consider the problem of solving floating-point constraints obtained from software verification. We present UppSAT --- a new implementation of a systematic approximation refinement framework [ZWR17] as an abstract SMT solver. Provided…

Logic in Computer Science · Computer Science 2017-12-12 Aleksandar Zeljic , Peter Backeman , Christoph M. Wintersteiger , Philipp Ruemmer

This paper presents a new refutation procedure for multimodular systems of integer constraints that commonly arise when verifying cryptographic protocols. These systems, involving polynomial equalities and disequalities modulo different…

Logic in Computer Science · Computer Science 2025-05-22 Elizaveta Pertseva , Alex Ozdemir , Shankara Pailoor , Alp Bassa , Sorawee Porncharoenwase , Işil Dillig , Clark Barrett

Satisfiability modulo theories (SMT) is a core tool in formal verification. While the SMT-LIB specification language can be used to interact with theorem proving software, a high-level interface allows for faster and easier specifications…

Logic in Computer Science · Computer Science 2024-12-05 Emiko Soroka , Mykel J. Kochenderfer , Sanjay Lall

Simulating quantum circuits using classical computers lets us analyse the inner workings of quantum algorithms. The most complete type of simulation, strong simulation, is believed to be generally inefficient. Nevertheless, several…

Quantum Physics · Physics 2013-02-25 T. H. Johnson , J. D. Biamonte , S. R. Clark , D. Jaksch

The growing range of applications of Machine Learning (ML) in a multitude of settings motivates the ability of computing small explanations for predictions made. Small explanations are generally accepted as easier for human decision makers…

Artificial Intelligence · Computer Science 2018-11-28 Alexey Ignatiev , Nina Narodytska , Joao Marques-Silva

Leveraging the flexible expressive ability of (Max)SMT and the powerful solving ability of SMT solvers, we propose a novel layout model named SMT-Layout. SMT-Layout is the first constraint-based layout model that can support real-time…

Logic in Computer Science · Computer Science 2024-11-20 Bohan Li , Dawei Li , Ming Fu , Shaowei Cai

In the context of the model-driven development of data-centric applications, OCL constraints play a major role in adding precision to the source models (e.g., data models and security models). Several code-generators have been proposed to…

Databases · Computer Science 2025-09-11 Hoang Nguyen , Manuel Clavel

Constraint solvers are complex pieces of software which require many design decisions to be made by the implementer based on limited information. These decisions affect the performance of the finished solver significantly. Once a design…

Artificial Intelligence · Computer Science 2010-08-26 Ian Gent , Lars Kotthoff , Ian Miguel , Peter Nightingale

Quantified formulas with Uninterpreted Functions (UFs) over non-linear real arithmetic pose fundamental challenges for Satisfiability Modulo Theories (SMT) solving. Traditional quantifier instantiation methods struggle because they lack…

Artificial Intelligence · Computer Science 2026-01-09 Kunhang Lv , Yuhang Dong , Rui Han , Fuqi Jia , Feifei Ma , Jian Zhang

Generating proofs of unsatisfiability is a valuable capability of most SAT solvers, and is an active area of research for SMT solvers. This paper introduces the first method to efficiently generate proofs of unsatisfiability specifically…

Logic in Computer Science · Computer Science 2024-04-19 Nick Feng , Alan J. Hu , Sam Bayless , Syed M. Iqbal , Patrick Trentin , Mike Whalen , Lee Pike , John Backes

We present a novel approach to formalise and solve search-based problems using large language models, which significantly improves upon previous state-of-the-art results. We demonstrate the efficacy of this approach on the logic puzzles…

Artificial Intelligence · Computer Science 2025-02-25 Pascal Kesseli , Peter O'Hearn , Ricardo Silveira Cabral

Algebraic data types (ADTs) are a construct classically found in functional programming languages that capture data structures like enumerated types, lists, and trees. In recent years, interest in ADTs has increased. For example, popular…

Logic in Computer Science · Computer Science 2023-10-20 Amar Shah , Federico Mora , Sanjit A. Seshia

Quantum computing is fast evolving as a technology due to recent advances in hardware, software, as well as the development of promising applications. To use this technology for solving specific problems, a suitable quantum algorithm has to…

Quantum Physics · Physics 2024-06-25 Nils Quetschlich , Lukas Burgholzer , Robert Wille

Problem-solving has been a fundamental driver of human progress in numerous domains. With advancements in artificial intelligence, Large Language Models (LLMs) have emerged as powerful tools capable of tackling complex problems across…

Machine Learning · Computer Science 2025-05-07 Da Zheng , Lun Du , Junwei Su , Yuchen Tian , Yuqi Zhu , Jintian Zhang , Lanning Wei , Ningyu Zhang , Huajun Chen
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